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Simplifying 2a + -3 = 4(a + 1) + 7a + 4 Reorder the terms: -3 + 2a = 4(a + 1) + 7a + 4 Reorder the terms: -3 + 2a = 4(1 + a) + 7a + 4 -3 + 2a = (1 * 4 + a * 4) + 7a + 4 -3 + 2a = (4 + 4a) + 7a + 4 Reorder the terms: -3 + 2a = 4 + 4 + 4a + 7a Combine like terms: 4 + 4 = 8 -3 + 2a = 8 + 4a + 7a Combine like terms: 4a + 7a = 11a -3 + 2a = 8 + 11a Solving -3 + 2a = 8 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. -3 + 2a + -11a = 8 + 11a + -11a Combine like terms: 2a + -11a = -9a -3 + -9a = 8 + 11a + -11a Combine like terms: 11a + -11a = 0 -3 + -9a = 8 + 0 -3 + -9a = 8 Add '3' to each side of the equation. -3 + 3 + -9a = 8 + 3 Combine like terms: -3 + 3 = 0 0 + -9a = 8 + 3 -9a = 8 + 3 Combine like terms: 8 + 3 = 11 -9a = 11 Divide each side by '-9'. a = -1.222222222 Simplifying a = -1.222222222
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